On sylowizers in finite p-soluble groups
Tóm tắt
In general, given a finite group G, a prime p and a p-subgroup R of G, the sylowizers of R in G are not conjugate. In this paper we afford some conditions to achieve the conjugation of the sylowizers of R in a p-soluble group G, among others
Tài liệu tham khảo
Borovik, A.V., Khukhro, E.I.: Sylowizers of subgroups in solvable groups. In: Materials of the XIII All-Soviet Scientific Students’ Conference (Mathematics), Novosibirsk, pp. 6–7 (1975)
Borovik A.V. and Khukhro E.I. (1976). Groups of automorphisms of finite p-groups. Math. Zametki 19(3): 401–418
Gaschütz W. (1971). Sylowisatoren. Math. Z. 122: 319–320
Gorenstein D. (1980). Finite Groups. Chelsea Publishing Company, New York
Huppert B. (1967). Endliche Gruppen I. Springer, Heidelberg
Huppert B. and Blackburn N. (1982). Finite Groups III. Springer, Heidelberg
Lausch H. (1975). On p-complements of Sylowizers. Math. Z. 142: 25